Kitchen cabinet sizes can vary depending on your need and whether you go for stock (factory built) or custom ones. If your need is to fit in some oversized appliances, you may want to go for custom built cabinets. But otherwise stock kitchen cabinet sizes often come in standard sizes only.

Kitchen cabinet sizes for base and wall cabinets may vary depending on your space requirements but they are standard across the board and usually have 3 inch increments.

Kitchen base cabinets are usually 24 inches deep and 34 inches high. Placing a countertop can raise it to 36 inches. Cabinet widths can measure anything between 9 to 48 inches and increase in multiples of 3 inches. It also depends on the type of equipment you may want to add… such as a basin or sink etc. For example 30 inches is good for a single basin sink while 33 or 36 inches is good for a double basin sink.
Kitchen wall cabinets are usually 12 to 24 inches deep and can measure anywhere between 12 to 48 inches in height. The depth of the wall cabinets should always match the depth of the base cabinets. Cabinets that can be located above the refrigerator are usually 12 inches to 15 inches in height. However, their depth is as standard as your base cabinets.
While kitchen cabinet dimensions can be chosen according to your requirements or constraints, you can either choose standard kitchen cabinet sizes or simply go for your own dimensions to accommodate the appliances. your kitchen or have an island arrangement or other arrangements. These are easy to choose as far as base and wall cabinets are concerned.
However, when it comes to choosing the sizes of the corner kitchen cabinet you should be careful about the measurements. You need to know the corner angle, whether it is a diagonal wall and base angle or a square corner wall and base angle or the blind corner base angle. They are much more difficult to adjust if you have your own custom settings so cabinets designed on standard kitchen cabinet dimensions may not fit. So, choose your settings first. Another point is that if you have decided to go completely to the standard size of the kitchen cabinet, then the corner cabinets will not be an exception and will be provided by the makers.

Corner kitchen cabinet sizes depend on where you are fitting them. If you have a diagonal or square corner wall cabinet, the standard sizes are 24 inches wide and 30 or 36 or 42 inches high. For a corner base, the width is 33 or 36 inches while the height is 34.5 inches.
While designing your kitchen cabinets, you will also have to consider the areas you want to include according to your needs such as the countertop, splashboard, sink or basin etc. Again there are standard kitchen cabinet dimensions for these areas. For base cabinets, the standard countertop depth is 25 inches and the splashboard height is 4 inches. The height of the kickspace is usually 4 inches and the depth is 3 inches. If you plan to have drawers on the cabinet doors then the depth of the drawers is 4 inches. For wall cabinets, the height above the countertop is 18 inches while the height of the cabinet above the stovetop is 24 inches. The width, as said before, must always match the width of the base cabinet.
Extra storage is always an option for those who have an island in their kitchen. The added advantage is that you don’t have to worry about matching their size or fitting with the other base cabinets. However, they come in standard width sizes of 15, 18, 24, 27, 30, 33 and 36 inches. You only need to fix a countertop on top of your island cabinets and you have a large dining space in the kitchen. As an example a 36 inch countertop is good enough for island cabinets that are 24 inches deep.
Again the design and colors can be selectively chosen depending on whether you want to match them with the rest of the cabinets or just have a swanky new area in your kitchen. You may want to keep the height of the island slightly raised from the rest of the height of the base cabinet or just at the same level. In the case of a higher level it is certainly not awkwardly too high.